MGTsysteminvFIR

by Tim Lueth & Simon Schiele, SG-Lib Toolbox: SolidGeometry 5.6 - Auxiliary function
Introduced first in SolidGeometry 5.0, Creation date: 2021-02-09, Last change: 2025-09-15

calculates the FIR coefficients by solving a linear equation system

Description

This function is used to create the coefficients of an FIR controller that controls a FIR Systems specified by an ai polynom or an other bi polynom.
For those who understand that the FIR is a convolution operation, it is clear that this function is the inverse convolution function. It is possible with it, to compensate a system behavior or to prescribe the total behavior. It would be interesting to use this knowledge with the spreading of infectious diseases in order to give the spreading a purposeful progression, instead of watching anxiously that an averaging does not solve the problem.

See Also: MGTsystemFIR , MGTsystemIIR

Example Illustration

missing image of MGTsysteminvFIR(u,y)

Syntax

bi=MGTsysteminvFIR(u,y)

Input Parameter

u: input sequence
y: output sequence

Output Parameter

bi: FIR coefficients (convolution function), magenta coloured subplot

Examples


MGTsysteminvFIR([4 3 2 1],[1 0 0 0]); di=ans
MGTsystemFIR([4 3 2 1],di)



Copyright 2021-2025 Tim C. Lueth. All rights reserved. The code is the property of Tim C. Lueth and may not be redistributed or modified without explicit written permission. This software may be used free of charge for academic research and teaching purposes only. Commercial use, redistribution, modification, or reverse engineering is strictly prohibited. Access to source code is restricted and granted only under specific agreements. For licensing inquiries or commercial use, please contact: Tim C. Lueth

Last html export of this page out of FM database by TL: 2025-09-21